# What is Final velocity: Definition + 247 Threads

A gear train is a mechanical system formed by mounting gears on a frame so the teeth of the gears engage.
Gear teeth are designed to ensure the pitch circles of engaging gears roll on each other without slipping, providing a smooth transmission of rotation from one gear to the next. Features of gears and gear trains include:

The ratio of the pitch circles of mating gears defines the speed ratio and the mechanical advantage of the gear set.
A planetary gear train provides high gear reduction in a compact package.
It is possible to design gear teeth for gears that are non-circular, yet still transmit torque smoothly.
The speed ratios of chain and belt drives are computed in the same way as gear ratios. See bicycle gearing.
The transmission of rotation between contacting toothed wheels can be traced back to the Antikythera mechanism of Greece and the south-pointing chariot of China. Illustrations by the Renaissance scientist Georgius Agricola show gear trains with cylindrical teeth. The implementation of the involute tooth yielded a standard gear design that provides a constant speed ratio.

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1. ### Final Velocity of a car with a opposing decreasing drag force

Hello! How do I find the final velocity of a car moving initially at 30.63 m/s after it has moved 45m. Over the 45 meters, It has only 1 opposing force, drag force. Ignore the force of static friction propelling it foward. However, this drag force is decreasing since this car is slowing down so...
2. ### B Elastic collision - should final velocities be asymmetric?

The portion from the text : I copy and paste the portion from the text. After discussing a situation where the result should be symmetric, he discusses one where we should not expect the answer to be symmetric. In this case, he means that were we to substitute the values of the masses, that is...
3. ### The final velocity of a ball rolling while slipping.

Here is the problem statement along with the figure. Here, I take the right-ward and anti-clockwise directions to be positive. After the ball collides with the wall, its angular velocity remains the same and its velocity changes direction while remaining the same in magnitude. Using the...
4. ### Final velocity involving a can of soup and an inclined plane

a = 9.8*sin(25*pi/180)=>a=4.1417 m/s^2 vf^2=vi^2+2*a*s=>vf=sqrt(0^2+2*4.1417*3)=>vf=4.9850 m/s Meanwhile the correct answer is: (vf+vi)/2=>(vf+0)/2=2=>vf=4 m/s Why is my answer wrong? It seems that the acceleration is what is wrong, but I don't understand why.
5. ### Find the final velocity of the bobsled after the last bobsledder jumps in

For calculating the total impulse, I'm taking the individual impact force times the elapsed time and adding them all together to get the total impulse. Given F = 25N, ## \Delta t_1 =3 secs##, ##\Delta t_2 = 4secs##, ## \Delta t_3 = 5secs##, ## \Delta t_4 = 6secs##. $$Impulse 1 = F \Delta t_1$$...
6. ### Final velocity of a block on a spring pulled downhill

Note: wording is ambiguous so I assumed spring started from equilibrium, in which case it stretches as we go downslope. Final height (at lower point on slope) is 0. Distance along slope = Distance the spring stretches = d= ##s_f## = ##2/cos{\theta}## =2.13 Height change = h = ##2 tan{\theta}##...
7. ### B Is the final velocity of a Tossed tomato the same as its initial velocity

When a tomato is thrown up with a velocity ##v_0## it’s kinetic energy is 1/2mv_0^2. It will stop at the top and then again comes back to the launch point where it’s kinetic energy will be same as before, 1/2mv_0^2. How is this possible? Also when we throw the tomato up how can you be so sure...
8. ### 1-D Motion, calculating final velocity

Hello! I have done this problem : vf^2 = (4.0x10^5)^2 + 2(6.0x10^12)(5x10^-3) so vf= sqrt((4.0x10^5)^2 + 2(6.0x10^12)(5x10^-3)) I get vf = 4.7 x 10^5 m/s However, the textbook solutions says vf = 8.7x10^5 m/s. Where did I go wrong? Thank you for any help! :)
9. ### The final velocity = initial velocity + acceleration x time

I first calculated initial velocity: √7.09^2+1.07^2=7.17028 acceleration=√7.22^2+2.47^2= 7.63 then i substituted all values into this equation: final velocity=initial velocity + acceleration x time so, final velocity=82.0285 so the magnitude= final velocity-initial velocity= 74.858271 is...

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11. ### Finding the final velocity with quadratic drag

I chose coordinates where down is positive. So the force going up is $$F_{up} = mg - cv^2$$ $$a = g + \frac{c}{m}v^2$$ $$a = g + \frac{c}{m}v^2$$ $$a = g \left(1 + \frac{v^2}{v_t^2}\right)$$ $$a = \frac{dv}{dt} = v\frac{dv}{dy} = g \left(1 + \frac{v^2}{v_t^2}\right)$$ I used normal separation of...
12. ### Inclined Planes, finding final velocity

I determined 42m to be the hypotenuse so I used sine law to find the height of the incline, 10.87m. I used this height in the equation Ei=Ef, since they should be equal. Ei=Ef mgh=1/2mv^2 (at the start there is no kinetic energy, at rest. at the end there is only kinetic, no potential)...
13. ### Finding the final velocity of a volleyball

First I calculated the y component of the initial velocity vector: vy1 = 8.5 m/s * sin32 = 4.7 m/s next the change in distance Δd = d2 - d1 = 3.6m - 1.4m = 2.2m Then I put these numbers into the equation v2y^2 = v1y^2 + 2aydy v2y^2 = (4.7 m/2)^2 + 2(-9.8 m/s^2)(2.2m)...
14. ### Finding the equation for final velocity in a perfectly elastic collision

So after not being able to solve this problem I did some researching online. I was looking around and came across this video, where they give the following equations for solving for the final velocities of both balls: v1f=((m1-m2)/(m1+m2))*v1i v2f=(2m1/(m1+m2))*v1i I plugged in my numbers and...
15. ### Using Impulse to Solve For the Final Velocity

Hi there, Just asking a logistics question since I want to be sure I am approaching this problem correctly. My professor showed me an example of a bullet being fired from a barrel, given its initial velocity was 0. The change in time was 0.1 seconds. The mass of the bullet is 0.02 kg. The...
16. ### Determining the final velocity and acceleration magnitude traveling along an arc

Problem Statement: The motorcycle is traveling at 40 m/s when it is at A. If the speed is then decreased at v'=-(0.05s)m/s^2, where s is in meters measured from A, determine its speed and acceleration when it reaches B. I attached a picture of the problem. Relevant Equations: S = S_0 + v_0(t)...
17. ### Arrow passing through a moving target -- What is the final velocity?

A 0.1 kg arrow is moving at 48 m/s to the right and strike a 3 kg object (helmet resting on a 5 kg head) moving to the left towards the arrow at 9 m/s (full mounted charge). It takes 80 Joules to penetrate the 3 kg helmet, what is the velocity of the arrow after penetration when it slams into...
18. ### How come "terminal velocity" and "final velocity" are different?

Homework Statement Someone shot the bullet perpendicular to the ground. And there is air resistance. Velocity of bullet is v^2 = Ae^(-2kx)-g/k upward v^2 = g/k-Be^(2kx) downward A,B is constant, g is a gravitational acceleration, k = c2/m , c2 is a resistance constant, m is a mass...
19. ### Calculating the final speed w/ work & friction

The problem is asking me to find the final speed of a 1100 kg car traveling at 24 m/s through 18m of mud, where the resistive force on the car is 17000 N. I don't actually know how to go about doing this, so any pointers in the right direction would be super helpful.
20. ### Collision finding final velocity

1. A baseball of mass 0.30kg is pitched at 70m/s (fwd) at a batter. The ball knocks the stationary 1.7kg ball out of the batters hands and the ball rebounds at 48m/s (backwards). What is the final velocity of the bat as it leaves the batters hand? variables m1 = 0.30 vi= 70 vf = -48 m2= 1.7...
21. ### What Is the Final Velocity of a Particle Under a Time-Dependent Force?

Homework Statement A particle with the mass m moves in one dimension. It is in rest when t=0 and affects later after a by The time dependent force. F(t) =F0*e^(-at) where F0 and a is constants. When The time is really big The particels velocity get close to a spesific value. What is it...
22. ### Calculating the final velocity of a simple electric train

I am currently in grade 12, and for a physics project (a huge project, which gets assigned to you at the start of the semester and needs to be completed just before exams. You think up your project, make a proposal for it and you prove your hypothesis to be right after a presentation and lab...
23. ### What is the final velocity of an object sliding down a frictionless ramp?

I have a question which asks me if an object with a mass of 2250kg starts from rest at the top of a frictionless ramp 10m long and is at an angle of 10 degrees horizontally, what is the velocity of the object the moment it reaches the bottom of the ramp? I have been trying to work out this...
24. ### Final velocity of two blocks between a spring

Homework Statement Two blocks have a spring compressed between them, Block A (mass 1kg) and block B (mass 3kg) . The spring has force constant 720 N>m and is initially compressed 0.225 m from its original length. For each block, what is (a) the acceleration just after the blocks are released...
25. ### Find final velocity in a horizontal projectile motion

Homework Statement A ball was thrown from a cliff, it reached to the ground after 2.5 seconds. a) Find the height of the cliff. b) Find the horizontal distance the ball reached. Homework Equations Δy = 2⋅g⋅t^2 Vfy = g⋅t √(Vfy)^2+(Vfx)^2 Δx= Vx⋅t The Attempt at a Solution I've found Δy=30.6m...
26. ### Calculate final velocity of electric particle

Homework Statement A particle of mass 7.3 × 10−5 g and charge 24 mC moves in a region of space where the electric field is uniform and is 6.3 N/C in the x direction and zero in the y and z direction. If the initial velocity of the particle is given by vy = 4.1 × 105 m/s, vx = vz = 0, what is...
27. ### What is the final velocity of a ball rolling through a tube?

I am making a physics simulator and this problem is tricky. You have two freely moving objects with known masses and velocities in a frictionless environment. The first object is a ball and the second is a pipe. They are moving toward each other. I need to know what formulas are used to simulate...
28. L

### Help with Final Velocity Collision Problem

Homework Statement Homework Equations change in momentum = m1v1 = m1v1+m2v2 center of mass = m1x + m2x / (total mass) The Attempt at a Solution m1v1= m2v2 + m3v3 m1 = 2 v1 = 4 m2 = m1 divided by 2 m3 = m3 divided by 2[/B] 2*4 = 1*12 + 1v3 v3 = -4 v3= -4? in the x directioncenter of mass...
29. ### Final velocity parallel to the track when the ski jumper lands

Homework Statement The skier leaves with 10 m/s What is the final velocity parallel to the track when it is hit? Homework Equations The Attempt at a Solution I have already found out d which is 21,27m and the time for the movement which is 1.6s. I can also find the impact velocity, but how am...
30. A

### Why Is the Angle 90 Degrees in Elastic Collisions of Equal Mass?

Homework Statement Prove that in the elastic collision of two objects of identical mass, with one being a target initially at rest, the angle between their final velocity vectors is always 90 degrees. Homework Equations m1v1+m2v2 = m1v1'+m2v2' 1/2m1v1^2 +1/2m2v2^2 = 1/2m1v1'^2 + 1/2m2v2'^2...
31. G

### Electric Potential Energy - Final Velocity

Homework Statement Four protons (each with mass 1.7 10-27 kg and charge 1.6 10-19 C) are initially held at the corners of a square that is 7.1 10-9 m on a side. They are then released from rest. What is the speed of each proton when the protons are very far apart? (You may assume that the...
32. L

### Finding Final Velocity or Setting it Equal to 0(Kinematics)

<Moderator's note: Moved from a technical forum and thus no template.> So, i have this sample problem to reference to : A stone is thrown from the top of a building with an initial velocity of 20 m/s downward. The top of the building is 60 m above the ground. How much time elapses between the...
33. B

### Calculating Final velocity and distance

Homework Statement A ball, thrown upward, leaves the thrower's hand at a height of 0.8m with a velocity of 5m/s. How fast is the ball moving just before it hits the ground? (assume the thrower moves out of the way)? Homework Equations Could someone check my work to make sure I have the...
34. A

### Positive or negative final velocity? Constant acceleration

Homework Statement A car is moving with a constant velocity of 18 m/s for 5 seconds, if in the next 5 seconds it travels a distance of 40 m, what is its final velocity? Homework Equations Δx= vit+ 1/2 at^2 vf= vi+at vf^2 = vi^2 + 2a (Δx) The Attempt at a Solution So I tried doing it different...
35. J

### How do I find the final velocity and how high the bridge is?

Homework Statement A rock that is thrown upward from a bridge with an initial velocity of 2.0 m/s. (Assume there is no air drag: a = -10m/s2). a) If the rock takes 4.0 s to hit the water below once the rock is released. What is the final velocity of the rock as it hits the water? b) How high...
36. T

### Find friction coefficient given initial and final velocity

I am not sure how to approach a problem involving the friction coefficient when only given initial velocity, final velocity, and distance traveled. I could combine the friction and kinematic equations, but I am only familiar with doing that for one velocity... Here is the specific problem I had...
37. ### Velocity of a particle kicked into four point charge square

Homework Statement Consider the arrangment of charges (fixed in place) shown in the figure. The square has side length d. (Figure 1) Now suppose the particle with charge q is released. It is "kicked" so that it's initial speed is v. After an unspecified trajectory, it is observed that the...
38. ### Final velocity of an air rifle pellet from compressed gas

As in the title, I'm trying to establish the approximate velocity (sans friction and other losses) of a pellet propelled by compressed gas from a tank. Below is what I have came up with myself, I would appreciate if someone could review this as say whether the end values are reasonable. I have...
39. ### Final Velocity of Positron through Potential Difference

Homework Statement If a positron (or electron antiparticle) beam is accelerated across a potential of 20 kV, find the final velocity v of the particles. Do this problem TWICE, once using MKS units (J for energy) and a second time using "modern" units (eV for energy). Use the following values...
40. ### How do i find the final velocity of an object?

THE VELOCITY BEFORE IT HIT THE TREE* typo 1. Homework Statement the car took 0.35 sec to stop it weighs 975kg the force on the car during the crash was 25,000 The Attempt at a Solution i think i may have found impulse but don't know how to go from there
41. ### Find the final velocity of a metallic bar

Homework Statement We have a ramp with some angle theta. The metallic bar sitting on a ramp at height h. Also, we have some weight that attached by a rope to a metallic bar while hanging on the height h. There is a magnetic field with a magnitude B and direction k. M = metallic bar m = weight...
42. ### Solving a Hockey Puck Collision: Final Velocity

Homework Statement A hockey puck of mass 0.16kg has initial velocity of 2.0m/s[E] and collides with another puck that is initially at rest, has mass of 0.17kg. Once they collide the first puck travels 1.5m/s[N 31 E]. Find final velocity of second puck. Homework EquationsThe Attempt at a...
43. ### Finding final velocity and position of a two ended rocket

Homework Statement The figure shows a two-ended “rocket” that is initially stationary on a frictionless floor, with its center at the origin of an x axis. The rocket consists of a central block C (of mass M = 6.40 kg) and blocks L and R (each of massm = 1.90 kg) on the left and right sides...
44. ### Final velocity of a mass moving through friction

Homework Statement A block of 10 kg is pulled by a force of 100 N at and angle 30 degrees above the horizonal through a distance of 4 meters. Kinetic friction has a coefficient of 0.3. How much work does friction do in that distance? If its speed is 3 m/s at point a, what is its speed at point...
45. ### Calculating final velocity after a puck is hit

Homework Statement Bob passes a 0.220kg puck with an initial velocity of 12m/s [South] to Dave. Dave one-times the puck with a force of 368N [N30E] if Daves stick is in contact with the puck for 0.250s what is the final velocity? Homework Equations i honestly don't know where to start with...
46. ### How Do You Calculate the Final Velocity of a Projectile?

Homework Statement A rock is thrown from a cliff that is 50m long with an initial velocity of 7m/s and an angle of 53, find the rock's veloctity before it hits the ground Homework Equations vfy=sin(theta)*vi-gt vf^2=(vi*sin(theta))^2-2gy The Attempt at a Solution x=vi*cos()t t=x/(vi*cos)...
47. ### Inelastic collision: final velocity after collision

Homework Statement You are driving your 1000-kg car at a velocity of(19 m/s )ι^ when a 9.0-g bug splatters on your windshield. Before the collision, the bug was traveling at a velocity of (-1.5 m/s )ι^. What is the change in velocity of the car due to its encounter with the bug?Homework...
48. ### Perfectly Elastic Collision and final velocity of ball

Homework Statement Two balls collide in a perfectly elastic collision. Ball 1 has a mass of 3.5kg and is initially traveling at a velocity of 5.4m/s. It collides head-on with stationary ball 2 with mass 4.8kg. Determine the final velocity of ball 2. Given: m1=3.5kg vi1=5.4m/s m2=4.8kg...
49. ### Final Velocity Calculation for Inelastic Collision of Freight Trains

Homework Statement Two freight trains have a completely inelastic collision at a track crossing. Engine 1 has a mass of 1.4x10^4 kg and is initially traveling at 45 km/h [N]. Engine 2 has a mass of 1.5x10^4 kg and is initially traveling at 53 km/h [W]. Calculate the final velocity. Homework...
50. ### Calculate the final velocity of each cart after a collision

Homework Statement Cart 1 has a mass of 1.5 kg and is moving on a track at 36.5 cm/s [E] toward cart 2. The mass of cart 2 is 5 kg, and it is moving toward cart 1 at 42.8 cm/s [W]. The carts collide. The collision is cushioned by a Hooke's law spring, making it an elastic head-on collision...